 submatrix

a set of certain rows and columns of a given matrix.[SUB + MATRIX]
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Submatrix — In mathematics, a submatrix is a matrix formed by selecting certain rows and columns from a bigger matrix. That is, as an array, it is cut down to those entries constrained by row and column. For example: mathbf{A}=egin{bmatrix} a {11} a {12} a… … Wikipedia
submatrix — noun A matrix formed by selecting certain rows and columns from a larger matrix … Wiktionary
submatrix — /sub may triks, ma triks/, n., pl. submatrices / tri seez /, submatrixes. Math. a set of certain rows and columns of a given matrix. [SUB + MATRIX] * * * subˈmatrix (↑matrix) n(3) • • • Main Entry: ↑sub … Useful english dictionary
Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the … Wikipedia
Nullity theorem — The nullity theorem is a mathematical theorem about the inverse of a partitioned matrix, which states that the nullity of a block in a matrix equals the nullity of the complementary block in its inverse matrix. Here, the nullity is the dimension… … Wikipedia
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LU decomposition — In linear algebra, LU decomposition (also called LU factorization) is a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as… … Wikipedia